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Q.

A rectangular parallelepiped is formed by drawing planes through the points Question Image and Question Image and parallel to the coordinate planes. The length of the diagonal of the parallelepiped is:


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a

Question Image

b

Question Image

c

Question Image

d

Question Image

answer is D.

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Detailed Solution

Concept- A parallelepiped, sometimes known as a parallelepipedal, is a three-dimensional figure made up of six parallelograms. It is analogous to a parallelogram, much as a cube is to a square.
Diagram, shape, engineering drawing, rectangle Description automatically generatedLet, the length of the edge of parallelepiped be Question ImageGiven that,
Rectangular parallelopiped’s plane passes through the points Question Image and Question ImageIt implies that, Question Imageand Question ImageTherefore, the length of edges will be,
Question ImageQuestion ImageQuestion ImageAs we know, the diagonal of the parallelepiped is the square root of the sum of squares of the edges Question Image.
So, Diagonal Question ImageQuestion ImageQuestion ImageQuestion ImageQuestion ImageHence, the correct answer is option 4.
 
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